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Complex Numbers question

2003 · Shift 0 · Q118
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Complex Numbers question

2003 · Shift 0 · Q118

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If zzz and ω\omegaω are two non-zero complex numbers such that ∣zω∣=1\left| {z\omega } \right| = 1∣zω∣=1 and Arg(z)−Arg(ω)=π2,Arg(z) - Arg(\omega ) = {\pi \over 2},Arg(z)−Arg(ω)=2π​, then  z ‾ω\,\overline {z\,} \omegazω is equal to
  1. A
    −i- i−i
  2. B
    1
  3. C
    - 1
  4. D
    iii
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